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145108512 = 25324112289
BaseRepresentation
bin10001010011000…
…10111000100000
3101010001021110100
420221202320200
5244121433022
622222102400
73411254613
oct1051427040
9333037410
10145108512
1174a0119a
124071aa00
13240a8633
14153b417a
15cb151ac
hex8a62e20

145108512 has 72 divisors (see below), whose sum is σ = 422751420. Its totient is φ = 47185920.

The previous prime is 145108501. The next prime is 145108517. The reversal of 145108512 is 215801541.

145108512 is a `hidden beast` number, since 1 + 45 + 108 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 143137296 + 1971216 = 11964^2 + 1404^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (145108517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5664 + ... + 17952.

Almost surely, 2145108512 is an apocalyptic number.

145108512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145108512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211375710).

145108512 is an abundant number, since it is smaller than the sum of its proper divisors (277642908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145108512 is a wasteful number, since it uses less digits than its factorization.

145108512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12346 (or 12335 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 145108512 is about 12046.0994516897. The cubic root of 145108512 is about 525.4898068306.

The spelling of 145108512 in words is "one hundred forty-five million, one hundred eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 12289 24578 36867 49156 73734 98312 110601 147468 196624 221202 294936 393248 442404 503849 589872 884808 1007698 1179744 1511547 1769616 2015396 3023094 3539232 4030792 4534641 6046188 8061584 9069282 12092376 16123168 18138564 24184752 36277128 48369504 72554256 145108512